We consider a parabolic equation with a nonlinear time-dependent boundary condition, where the nonlinearity is subjected only to «one-sided» conditions. In order to solve this equation, we extend some results of [6] and [9] to the nonautonomous case.
Degiovanni, M., Parabolic equations with nonlinear time-dependent boundary conditions, <<ANNALI DI MATEMATICA PURA ED APPLICATA>>, 1985; 141 (1): 223-263. [doi:10.1007/BF01763175] [https://hdl.handle.net/10807/312975]
Parabolic equations with nonlinear time-dependent boundary conditions
Degiovanni, Marco
Primo
Conceptualization
1985
Abstract
We consider a parabolic equation with a nonlinear time-dependent boundary condition, where the nonlinearity is subjected only to «one-sided» conditions. In order to solve this equation, we extend some results of [6] and [9] to the nonautonomous case.
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